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- W4302069916 abstract "Some known results for locating the roots of polynomials are extended to the case of matrix polynomials. In particular, a theorem by A.E. Pellet [Bulletin des Sciences Math'ematiques, (2), vol 5 (1881), pp.393-395], some results of D.A. Bini [Numer. Algorithms 13:179-200, 1996] based on the Newton polygon technique, and recent results of M. Akian, S. Gaubert and M. Sharify (see in particular [LNCIS, 389, Springer p.p.291-303] and [M. Sharify, Ph.D. thesis, 'Ecole Polytechnique, ParisTech, 2011]). These extensions are applied for determining effective initial approximations for the numerical computation of the eigenvalues of matrix polynomials by means of simultaneous iterations, like the Ehrlich-Aberth method. Numerical experiments that show the computational advantage of these results are presented." @default.
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- W4302069916 date "2012-06-16" @default.
- W4302069916 modified "2023-10-18" @default.
- W4302069916 title "Locating the eigenvalues of matrix polynomials" @default.
- W4302069916 doi "https://doi.org/10.48550/arxiv.1206.3632" @default.
- W4302069916 hasPublicationYear "2012" @default.
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